TSTP Solution File: SWW313+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW313+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 00:10:32 EDT 2022

% Result   : Theorem 0.92s 2.11s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_weaken,axiom,
    ! [X5,X7,X4,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X7)
     => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X7))
       => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_weaken) ).

fof(fact_asm,axiom,
    ! [X4,X5,X6] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
     => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_asm) ).

fof(conj_2,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).

fof(conj_0,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(conj_1,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).

fof(c_0_5,plain,
    ! [X8,X9,X10,X11] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X9)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X11),tc_HOL_Obool)),X8),X9))
      | c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_weaken])]) ).

fof(c_0_6,plain,
    ! [X7,X8,X9] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X9),tc_HOL_Obool)),X8),X7))
      | c_Hoare__Mirabelle_Ohoare__derivs(X9,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).

fof(c_0_7,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(assume_negation,[status(cth)],[conj_2]) ).

cnf(c_0_8,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X4))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_10,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

fof(c_0_12,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

cnf(c_0_13,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_ts)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_G) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW313+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun  5 00:54:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.92/2.11  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.92/2.11  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.92/2.11  # Preprocessing time       : 0.238 s
% 0.92/2.11  
% 0.92/2.11  # Proof found!
% 0.92/2.11  # SZS status Theorem
% 0.92/2.11  # SZS output start CNFRefutation
% See solution above
% 0.92/2.11  # Proof object total steps             : 17
% 0.92/2.11  # Proof object clause steps            : 8
% 0.92/2.11  # Proof object formula steps           : 9
% 0.92/2.11  # Proof object conjectures             : 4
% 0.92/2.11  # Proof object clause conjectures      : 1
% 0.92/2.11  # Proof object formula conjectures     : 3
% 0.92/2.11  # Proof object initial clauses used    : 5
% 0.92/2.11  # Proof object initial formulas used   : 5
% 0.92/2.11  # Proof object generating inferences   : 3
% 0.92/2.11  # Proof object simplifying inferences  : 1
% 0.92/2.11  # Training examples: 0 positive, 0 negative
% 0.92/2.11  # Parsed axioms                        : 5228
% 0.92/2.11  # Removed by relevancy pruning/SinE    : 5127
% 0.92/2.11  # Initial clauses                      : 139
% 0.92/2.11  # Removed in clause preprocessing      : 16
% 0.92/2.11  # Initial clauses in saturation        : 123
% 0.92/2.11  # Processed clauses                    : 129
% 0.92/2.11  # ...of these trivial                  : 3
% 0.92/2.11  # ...subsumed                          : 29
% 0.92/2.11  # ...remaining for further processing  : 97
% 0.92/2.11  # Other redundant clauses eliminated   : 17
% 0.92/2.11  # Clauses deleted for lack of memory   : 0
% 0.92/2.11  # Backward-subsumed                    : 2
% 0.92/2.11  # Backward-rewritten                   : 0
% 0.92/2.11  # Generated clauses                    : 317
% 0.92/2.11  # ...of the previous two non-trivial   : 244
% 0.92/2.11  # Contextual simplify-reflections      : 1
% 0.92/2.11  # Paramodulations                      : 291
% 0.92/2.11  # Factorizations                       : 8
% 0.92/2.11  # Equation resolutions                 : 18
% 0.92/2.11  # Current number of processed clauses  : 78
% 0.92/2.11  #    Positive orientable unit clauses  : 14
% 0.92/2.11  #    Positive unorientable unit clauses: 2
% 0.92/2.11  #    Negative unit clauses             : 6
% 0.92/2.11  #    Non-unit-clauses                  : 56
% 0.92/2.11  # Current number of unprocessed clauses: 232
% 0.92/2.11  # ...number of literals in the above   : 496
% 0.92/2.11  # Current number of archived formulas  : 0
% 0.92/2.11  # Current number of archived clauses   : 2
% 0.92/2.11  # Clause-clause subsumption calls (NU) : 694
% 0.92/2.11  # Rec. Clause-clause subsumption calls : 663
% 0.92/2.11  # Non-unit clause-clause subsumptions  : 27
% 0.92/2.11  # Unit Clause-clause subsumption calls : 95
% 0.92/2.11  # Rewrite failures with RHS unbound    : 0
% 0.92/2.11  # BW rewrite match attempts            : 56
% 0.92/2.11  # BW rewrite match successes           : 6
% 0.92/2.11  # Condensation attempts                : 0
% 0.92/2.11  # Condensation successes               : 0
% 0.92/2.11  # Termbank termtop insertions          : 147680
% 0.92/2.11  
% 0.92/2.11  # -------------------------------------------------
% 0.92/2.11  # User time                : 0.236 s
% 0.92/2.11  # System time              : 0.010 s
% 0.92/2.11  # Total time               : 0.246 s
% 0.92/2.11  # Maximum resident set size: 13424 pages
% 0.94/24.10  eprover: CPU time limit exceeded, terminating
% 0.94/24.10  eprover: CPU time limit exceeded, terminating
% 0.94/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.12  eprover: No such file or directory
% 0.94/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.12  eprover: No such file or directory
% 0.94/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.12  eprover: No such file or directory
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15  eprover: No such file or directory
% 0.94/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18  eprover: No such file or directory
%------------------------------------------------------------------------------